Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
6390u |
Isogeny class |
Conductor |
6390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2750685471900 = -1 · 22 · 318 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21857,-1240819] |
[a1,a2,a3,a4,a6] |
Generators |
[200613:4574842:343] |
Generators of the group modulo torsion |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
6.3986355212366 |
L(r)(E,1)/r! |
Ω |
0.1962960199768 |
Real period |
R |
8.1492170880398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120bm1 2130d1 31950bd1 |
Quadratic twists by: -4 -3 5 |